JEE Main202624 January 2026Morning ShiftPhysicsAlternating CurrentActual

For the series L C R circuit connected with 220 ~V , 50 ~Hz a.c source as shown in the figure, the power factor is 10 . The value of is _ _ _ _ .

Options

Correct answer

C. 6

Step-by-step solution

Net reactance: X = X_C - X_L = 150 - 70 = 80Ω . Impedance: Z = R^2 + X^2 = 60^2 + 80^2 = 10000 = 100Ω . Power factor: = R/Z = 60/100 = 0.6 . Since power factor is /10 , we have 0.6 = /10 , so = 6

Practice Alternating Current on Quantrex Academy →

More from Alternating Current

Consider a circuit consisting of a capacitor of capacitance C and a coil with N turns per unit length, cross sectional area S and length d , where d^2 S . There is another coil of 2026 An LCR series circuit driven with E_ rms = 90 V at frequency f_d = 30 Hz has resistance R = 80 , , an inductance with inductive reactance X_L = 20.0 , and capacitance with capacitiv 2026 A series LCR circuit with R = 20 , L = 1.6 H and C = 40 F is connected to a variable frequency a.c. source. The inductive reactance at resonant frequency is _______ . 2026 An a.c. source of angular frequency is connected across a resistor R and a capacitor C in series. The current is observed as I . Now the frequency of the source is changed to /4 , 2026 An inductor of 10 mH, capacitor of 0.1 F and a resistor of 100 are connected in series across an a.c power supply 220 V, 70 Hz. The power factor of the given circuit is 0.5 . The d 2026 The figure given below shows an LCR series circuit with two switches S₁ and S₂ . When switch S₁ is closed keeping S₂ open, the phase difference ( ) between the current and source v 2026 An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. 2026 The electric current in the circuit is given as i=i_ o (t / T) . The r.m.s current for the period t=0 to t=T is _ _ _ _ . 2026 Full Alternating Current list All JEE Main PYQs